Answer:
28.26 in
Step-by-step explanation:
Radius = (1/2) diameter
Radius = (1/2)(9)
Radius = 4.5 in
Circumference = 2πr
Circumference = 2(3.14)(4.5)
Circumference = 28.26 in
Answer:
Most likely answers are either 6 or 8.
Step-by-step explanation:
The sequence could be of all even numbers, so 2, 4, 6, 8, etc.
Or of all powers of 2, starting at 2, so 2, 4, 8, 16, etc.
Since there are an infinite number of sequences that fit the pattern, you just have to choose the most likely.
Answer: given and explained briefly below.
In these questions, we go right to left of the function to solve.
(a)
given that
f(x) = x - 3
g(x) = x + 3
(i) fg(x)
= f(x + 3)
= ( x +3 ) -3
= x
(ii) gf(x)
= g(x-3)
= (x-3)+3
= x
to find inverse, we have to make x the subject,
1)
f(x) = x - 3
f(x) + 3 =x
f^-1(x) = x + 3
2)
g(x) = x + 3
g(x) -3 = x
g^-1(x) = x -3
- f and g are inverses of each other
(b)
given that
f(x) = -1/4x
g(x) = 1/4x
fg(x) =
f(1/4x)
1/4(-1/4x)
= x
2)
gf(x)
g(-1/4x)
-1/4(1/4x)
= -x
<u>to find inverse, we have to make x the subject,</u>
1)
f(x) = -1/4x
-1/f(x) = 4x
f^-1(x) = -1/4x
2)
g(x) = 1/4x
x = 1/4g(x)
g^-1(x) = 1/4x
- f and g are not inverses of each other here.
Answer:
y = 12
Step-by-step explanation:
Area = 14
Area = l • w
14 = y • 7/6
multiply each side by 6/7
12 = y
